LCM of 256, 678, 190, 460, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 678, 190, 460, 920 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 256, 678, 190, 460, 920. So, keep reading to learn more.
Given numbers are 256,678,190,460,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,678,190,460,920 is 189623040.
Find LCM of 256,678,190,460,920 with Prime Factorization
| 2 | 256, 678, 190, 460, 920 |
| 2 | 128, 339, 95, 230, 460 |
| 2 | 64, 339, 95, 115, 230 |
| 5 | 32, 339, 95, 115, 115 |
| 23 | 32, 339, 19, 23, 23 |
| 32, 339, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 32 x 339 x 19 x 1 x 1 = 189623040
Therefore, the lowest common multiple of 256,678,190,460,920 is 189623040.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
256 x 678 x 190 x 460 x 920 = 13956255744000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
678 : 1, 2, 3, 6, 113, 226, 339, 678
190 : 1, 2, 5, 10, 19, 38, 95, 190
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,678,190,460,920, is 2.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
678:2x 3x 113
190:2x 5x 19
460:2x 2x 5x 23
920:2x 2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 5x 5x 23 = 36800
Therefore, the value for common factors is 36800.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 13956255744000/(2x36800)
LCM = 13956255744000/73600
LCM = 189623040
Thus, we can understand that the LCM of 256,678,190,460,920 is 189623040.
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FAQs on LCM of 256, 678, 190, 460, 920
1. What is the LCM of 256, 678, 190, 460, 920?
Answer: LCM of 256, 678, 190, 460, 920 is 189623040.
2. How to calculate the LCM of 256, 678, 190, 460, 920?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 256, 678, 190, 460, 920.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.